What is sqrt(9a^5b^3)*\sqrt[3]{8ab^3} ?

The solution to sqrt(9a^5b^3)*\sqrt[3]{8ab^3} is 6\sqrt[6]{a^{17}}sqrt(b^5)

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simplify sqrt(9a^5b^3)*\sqrt[3]{8ab^3}

simplify

Solution steps

Simplify

9 a^{5} b^{3} : 3 a^{2} a b b

Simplify

Multiply the numbers:

3 \cdot 2 = 6

Apply exponent rule:

aa = a^{2}

bb = b^{2}

Simplify

= 6 a^{2} a^{\frac{5}{6}} b^{2} b

Simplify

a^{2} a^{\frac{5}{6}} : a^{\frac{17}{6}}

= 6 a^{\frac{17}{6}} b^{2} b

Simplify

b^{2} b : b^{\frac{5}{2}}

= 6 a^{\frac{17}{6}} b^{\frac{5}{2}}

b^{\frac{5}{2}} = b^{5}

\frac{5}{8} \div \frac{2}{5}

15 x^{2} + 14 x + 3

\frac{( 2 x ^{3} - 3 x ^{2} - 10 x + 3 )}{( x - 3 )}

x \frac{3}{5}

\frac{sec ( x )}{cos ( x )}

What is sqrt(9a^5b^3)*\sqrt[3]{8ab^3} ?
The solution to sqrt(9a^5b^3)*\sqrt[3]{8ab^3} is 6\sqrt[6]{a^{17}}sqrt(b^5)